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Math Help - Definition of derivative

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    Definition of derivative

    Using the definition of derivative evaluate the following

    lim 1/h *( 1/(1+h)^2 - 1)
    h>0
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  2. #2
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    Quote Originally Posted by RyGuy View Post
    Using the definition of derivative evaluate the following

    lim 1/h *( 1/(1+h)^2 - 1)
    h>0
    the function is f(x) = \frac{1}{x^2}

    the limit is f'(1)
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  3. #3
    MHF Contributor chisigma's Avatar
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    Is...

    \lim_{h \rightarrow 0} \frac{\frac{1}{(1+h)^{2}}-1}{h} = \frac{d}{dx} \frac{1}{(1+x)^{2}}_{x=0}= -\frac{2}{(1+x)^{3}}_{x=0} = -2 (1)

    Kind regards

    \chi \sigma
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